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Testing Identifying Assumptions in Bivariate Probit Models

Santiago Acerenza, Otavio Bartalotti and Desire Kedagni

ISU General Staff Papers from Iowa State University, Department of Economics

Abstract: This paper focuses on the bivariate probit model's identifyingassumptions: joint normality of errors, instrument exogeneity, and relevance conditions. First, we develop novel sharp testable equalities that can detect all possible observable violations of the assumptions. Second, we propose an easy-to-implement testing procedure for the model's validity based on feasible testable implications using existing inference methods for intersection bounds. The test achieves correct empirical size for moderately sized samples and performs well in detecting violations of the conditions in Monte Carlo simulations. Finally, we provide researchers with a road map on what to do when the bivariate probit model is rejected, including novel bounds for the average treatment effect that relax the normality assumption. Empirical examples illustrate the methodology's implementation.

Date: 2021-03-29
New Economics Papers: this item is included in nep-dcm and nep-ecm
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Citations: View citations in EconPapers (2)

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Journal Article: Testing identifying assumptions in bivariate probit models (2023) Downloads
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